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Which of these are divisible by both two and three?
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Option A) six, 54, and 36; option B) 15, nine, and 12; option C) four, six, and 48; option D) five, 54, and nine; and option E) five, eight, and 36.
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As only even numbers are divisible by two, we can immediately rule out options B, D, and E as they contain odd numbers.
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Option B contains the odd numbers 15 and nine, option D contains the odd numbers five and nine, and option E contains the odd number five.
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None of these odd numbers are divisible by two.
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Which of the remaining sets of numbers — set A or set C — are all divisible by three?
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Six, 54, 36, and 48 are all divisible by three as they’re in the three times table.
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However, four is not divisible by three.
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Therefore, set C cannot be correct.
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This leaves the correct answer set A.
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The numbers six, 54, and 36 are divisible by both two and three.